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Maru [420]
3 years ago
9

How do you find the angle for n? If you can, please show work on how to get to the answer. Thank you!

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0
A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81
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Each calendar will sell for $5 each write an equatio to model the total income for selling calendars
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To answer the question above, I let x be the number of calendars sold. You may use any other letter as this is just for representation. The total income generated in selling calendars is calculated by multiplying the number of calendars with the price. That is,
                                   total income = 5x
If we let total income be y, our equation is further simplified into, 
                                            y = 5x
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Y(x) = e^x+rx+sx^2 satisfies y'' − y' = 5x if r=? and s=?
motikmotik

Answer:

5

Step-by-step explanation:

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A+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn
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The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard
Anna35 [415]

Answer:

a) 30.85% of people earn less than $40,000

b) 37.21% of people earn between $45,000 and $65,000.

c) 15.87% of people earn more than $70,000

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 50000, \sigma = 20000

a.What percent of people earn less than $40,000?

This is the pvalue of Z when X = 40000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40000 - 50000}{20000}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85% of people earn less than $40,000

b.What percent of people earn between $45,000 and $65,000?

This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 45000. So

X = 65000

Z = \frac{X - \mu}{\sigma}

Z = \frac{65000 - 50000}{20000}

Z = 0.75

Z = 0.75 has a pvalue of 0.7734.

X = 45000

Z = \frac{X - \mu}{\sigma}

Z = \frac{45000 - 50000}{20000}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

0.7734 - 0.4013 = 0.3721

37.21% of people earn between $45,000 and $65,000.

c.What percent of people earn more than $70,000?

This is 1 subtracted by the pvalue of Z when X = 70000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{70000 - 50000}{20000}

Z = 1

Z = 1 has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% of people earn more than $70,000

3 0
3 years ago
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